A slicing obstruction from the $\frac {10}{8}$ theorem

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2016-08-29

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Abstract

© 2016 American Mathematical Society. From Furuta’s 10/8 theorem, we derive a smooth slicing obstruction for knots in S3 using a spin 4-manifold whose boundary is 0-surgery on a knot. We show that this obstruction is able to detect torsion elements in the smooth concordance group and find topologically slice knots which are not smoothly slice.

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10.1090/proc/13056

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Donald, A, and F Vafaee (2016). A slicing obstruction from the $\frac {10}{8}$ theorem. Proceedings of the American Mathematical Society, 144(12). pp. 5397–5405. 10.1090/proc/13056 Retrieved from https://hdl.handle.net/10161/17368.

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